QUANTIZATION OF THE GENERAL THEORY OF RELATIVITY
It is possible to quantize most classical field theories by identifying the group of canonical transformations that maintain the covariance properties with a group of unitary transformations in Hilbert space that has the same commutator algebra. The computators among the canonical field variables are equal to the Dirac delta function times a factor that may be zero. But in the general theory of relativity the classical group of the canonical transformations that maintain the covariance properties of the theory has an invariance subgroup. The ambiguities thus introduced by the usual process of quantization can be avoided by the use of the Dirac quantization procedure for theories with constraints. An analogy between classical Dirac brackets and commutators is established, and an intrinsic coordinate system is fixed. This choice of local intrinsic coordinate conditions leads to commutators among the canonical field variables of the general theory of relativity that depend upon the Dirac delta function and its flrst seven derivatives. (auth)
- Research Organization:
- Originating Research Org. not identified
- NSA Number:
- NSA-17-031234
- OSTI ID:
- 4679622
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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